What is ((2x-3y))/7-((x-2y))/2+((5x-y))/(14) ?

The solution to ((2x-3y))/7-((x-2y))/2+((5x-y))/(14) is (2x+7y)/(14)

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simplify ((2x-3y))/7-((x-2y))/2+((5x-y))/(14)

simplify

\frac{( 2 x - 3 y )}{7} - \frac{( x - 2 y )}{2} + \frac{( 5 x - y )}{14}

\frac{2 x + 7 y}{14}

Solution steps

\frac{2 x - 3 y}{7} - \frac{x - 2 y}{2} + \frac{5 x - y}{14}

Least Common Multiplier of

7, 2, 14 : 14

Adjust Fractions based on the LCM

= \frac{( 2 x - 3 y ) \cdot 2}{14} - \frac{( x - 2 y ) \cdot 7}{14} + \frac{5 x - y}{14}

Apply the fraction rule:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{( 2 x - 3 y ) \cdot 2 - ( x - 2 y ) \cdot 7 + 5 x - y}{14}

Simplify

(2 x - 3 y) \cdot 2 - (x - 2 y) \cdot 7 + 5 x - y : 2 x + 7 y

= \frac{2 x + 7 y}{14}

\frac{2 x}{12} + \frac{x}{3} - \frac{3 x}{4}

(6 x + 4) (6 x - 4)

(6 x - 8 x^{2}) (6 x + 2)

8 (x + 5)

What is ((2x-3y))/7-((x-2y))/2+((5x-y))/(14) ?
The solution to ((2x-3y))/7-((x-2y))/2+((5x-y))/(14) is (2x+7y)/(14)